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Finding the Fourth Proportional to 342,034.11, 513,052.38 and 105,375.60

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Solution

The fourth proportional to 342,034.11, 513,052.38 and 105,375.60 is: 158,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,034.11 : 513,052.38 = 105,375.60 : x
  2. Step 2: Convert to fraction form
    342,034.11/513,052.38 = 105,375.60/x
  3. Step 3: Cross multiply
    342,034.11x = 513,052.38 × 105,375.60
  4. Step 4: Simplify right side
    342,034.11x = 54,063,202,373.93
  5. Step 5: Solve for x
    x = 54,063,202,373.93/342,034.11
  6. Step 6: Final answer
    x = 158,063.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.